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3 years ago

The length of the number line is one unit. What is the distance from 0 to point A on the number line?

Mathematics

1 answer:

Ulleksa [173]3 years ago

7 0

Answer:

answer is B. 2/6

Step-by-step explanation:

because A is plotted on the second line and there is 6 so it would be 2/6

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The base of a circular fence with radius 10 m is given by x = 10 cos(t), y = 10 sin(t). The height of the fence at position (x,

kirill115 [55]

Answer:

6.28 L

Step-by-step explanation:

The length of the circular fence is ...

C = 2πr = 2π(10 m) = 20π m

The height in terms of t is ...

h(t) = 5 +0.05((10cos(t))^2 -(10sin(t))^2) = 5 +5(1 -2sin(t)^2)

For 0 ≤ t ≤ 2π, the average value of this height function is 5.

The fence has an average height of 5 m and a length of 20π m, so an area of ...

(one side) fence area = (5 m)(20π m) = 100π m²

The area of both sides is double this, or ...

total fence area = 2(100π m²) = 2π(100 m²)

Since 1 liter covers 100 m², we need 2π liters to cover the fence.

The amount of paint needed is 6.28 L.

5 0

3 years ago

Last year my family decided to put on a play It was A Great success . 200 people attended and we earned a total of 800 . If adul

nata0808 [166]

Answer:

200 adults

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know children and adults attended. We will let c be the number of children and a be the number of adults. Since 200 people attended, then c+a=200.

We also know they made $800 and adult tickets cost $4 and child tickets cost $2. We can write 2c+4a=800.

We will solve by substituting one equation into the other. We start by solving the first equation for c. c+a=200 becomes c=200-a.

Now we substitute c=200-a into 2c+4a=800. Simplify and isolate the variable a.

2(200-a)+4a=800
400-2a+4a=800
400+2a=800
400-400+2a=800-400
2a=400
a=200

This means that 200 adults attended and 0 children attended.

8 0

4 years ago

Which pair shows equivalent expressions? 3 (x + 2) = 3 x + 6 3 x + 2 x = x squared (3 + 2) 3 x + 2 = 3 (x + 2) Negative 3 (2 + x

kogti [31]

Answer:

The first pair shows equivalent expressions.

Step-by-step explanation:

3(x+2), you would have to distribute 3 among x and 2, also known as expanding the expression. So you'd do 3*x + 3*2, which equals 3x+6

The first equation is 3(x+2)=3x+6

Therefore, the first pair shows equivalent expressions.

8 0

3 years ago

Read 2 more answers

Se quieren repartir 21 chocolates entre 4 chicos en partes iguales y sin que sobre nada, cuantos chocolates recibira cada uno?

Klio2033 [76]

Answer: Cada chico recibira 5.25

3 0

3 years ago

A rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle? Please hel

DerKrebs [107]

Answer:

The length of the base of the rectangle is 7 inches

Step-by-step explanation:

The Area of the rectangle can be found out by multiplying length with the breadth

Area= length * breadth

35 squared inches= x *5

5x= 35

x= 35/5

x= 7inches

Hence the length of the base of the rectangle is 7 inches.

If the area and one side are known then we can simply find the 2nd side by simply substituting x in its place and solving the equation.

4 0

3 years ago